20264786841600 has 3120 divisors, whose sum is σ = 92910709584000. Its totient is φ = 4349079060480.

The previous prime is 20264786841569. The next prime is 20264786841619. The reversal of 20264786841600 is 614868746202.

It is a happy number.

20264786841600 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 478 + 6 + 8 + 4 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48364646191 + ... + 48364646609.

Almost surely, 2^{20264786841600} is an apocalyptic number.

20264786841600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20264786841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46455354792000).

20264786841600 is an abundant number, since it is smaller than the sum of its proper divisors (72645922742400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20264786841600 is an equidigital number, since it uses as much as digits as its factorization.

20264786841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20264786841600 in words is "twenty trillion, two hundred sixty-four billion, seven hundred eighty-six million, eight hundred forty-one thousand, six hundred".